On certain subclasses of analytic and bi-univalent functions

Author

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

In this paper, we introduced two interesting subclasses of the function class σ of analytic
and bi-univalent functions in the open unit disk U . Estimates on the first two Taylor–Maclaurin
coefficients | a 2 | and | a 3 | for functions belonging to these classes are determined. Certain special
cases are also indicated.

Keywords